Finding the Third Proportional to 100,184 and 150,024

Step by Step Solution

1. Step 1: Write the proportion equation
   100,184 : 150,024 = 150,024 : x
2. Step 2: Convert to fraction form
   100,184/150,024 = 150,024/x
3. Step 3: Cross multiply
   100,184x = 150,024 × 150,024
4. Step 4: Simplify right side
   100,184x = 22,507,200,576
5. Step 5: Solve for x
   x = 22,507,200,576/100,184
6. Step 6: Final answer
   x = 224,658.63